Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a + b)2 – 2 = 4( ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?

B. Simplify both sides of the equation to get ; then subtract 2ab and add to both sides of the equation

Step-by-step explanation:

Given

Required

Describe the next steps to

First, we open all brackets

At this point, options A and C are incorrect because they didn't present the right result of the expression.

So, we have options B and D to consider

The next step is to subtract 2ab from both sides

Collect like terms

Lastly, to prove the Pythagoras theorem, the equation has to be in form of; meaning the is added to both sides; See below

Add to both sides

At this point, only option B completes Kira's proof

multiply length by height. multiply the length by the height, and then double the product. work out 10 x 10 results = 100 square inches, then work out 100 x 2 = 200. the answer is 200 square inches.

step-by-step explanation:

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